Sunday, 15 January 2012

Expanded Notation in Grade III

Hello Friends, in today's session we all are going to discuss about the most interesting topic of mathematics, expanded notations which are usually studied in Grade III. Here I am going to tell you the best way of understanding this term. (Also you should read Function Notation to expand your knowledge)

The first question arises here is that what is expanded notation? Expanded notation is a way of representing the whole numbers as a sum of each digit multiplied by its place value ( units, tens, hundreds, thousands etc. ). Let’s understand by taking some examples:

1. 4345 = 4 x 1000 + 3 x 100 + 4 x 10 + 5 x 1

2. 372 = 3 x 100 + 7 x 10 + 2 x 1

3. 84957 = 8 x 10000 + 4 x 1000 + 9 x 100 + 5 x 10 + 7 x 1

Steps to convert a whole number from its standard form to expanded form:

1. Let’s take an example to understand these steps easily. Let take 4257.

2. Always start picking the digit of the number from the right side i.e. first pick 7 and multiply it by its place value i.e. 7 x 1.

3. Now pick the second digit 5 and multiply it by 10 and so on multiplying all other digits from their place values i.e. 2 x 100, 4 x 1000.

4. And finally arrange all the numbers with their place value using ‘+’ as a separator between them. Now the expanded form will look like: